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Surface area of pentagonal trapezohedron given height Solution

STEP 0: Pre-Calculation Summary
Formula Used
surface_area = (sqrt((25/2)*(5+sqrt(5))))*((Height/((sqrt(5+2*sqrt(5)))))^2)
SA = (sqrt((25/2)*(5+sqrt(5))))*((h/((sqrt(5+2*sqrt(5)))))^2)
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
SA = (sqrt((25/2)*(5+sqrt(5))))*((h/((sqrt(5+2*sqrt(5)))))^2) --> (sqrt((25/2)*(5+sqrt(5))))*((12/((sqrt(5+2*sqrt(5)))))^2)
Evaluating ... ...
SA = 144.584219438084
STEP 3: Convert Result to Output's Unit
144.584219438084 Square Meter --> No Conversion Required
FINAL ANSWER
144.584219438084 Square Meter <-- Surface Area
(Calculation completed in 00.000 seconds)

11 Other formulas that you can solve using the same Inputs

Volume of a Conical Frustum
volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) Go
Total Surface Area of a Cone
total_surface_area = pi*Radius*(Radius+sqrt(Radius^2+Height^2)) Go
Lateral Surface Area of a Cone
lateral_surface_area = pi*Radius*sqrt(Radius^2+Height^2) Go
Total Surface Area of a Cylinder
total_surface_area = 2*pi*Radius*(Height+Radius) Go
Lateral Surface Area of a Cylinder
lateral_surface_area = 2*pi*Radius*Height Go
Volume of a Circular Cone
volume = (1/3)*pi*(Radius)^2*Height Go
Area of a Trapezoid
area = ((Base A+Base B)/2)*Height Go
Volume of a Circular Cylinder
volume = pi*(Radius)^2*Height Go
Volume of a Pyramid
volume = (1/3)*Side^2*Height Go
Area of a Triangle when base and height are given
area = 1/2*Base*Height Go
Area of a Parallelogram when base and height are given
area = Base*Height Go

11 Other formulas that calculate the same Output

Surface Area of Cuboid
surface_area = 2*((Length*Height)+(Height*Breadth)+(Length*Breadth)) Go
Surface Area of a Rectangular Prism
surface_area = 2*(Length*Width+Length*Height+Width*Height) Go
Surface Area of triangular prism
surface_area = (Base*Height)+(2*Length*Side)+(Length*Base) Go
Surface Area of a Capsule
surface_area = 2*pi*Radius*(2*Radius+Side) Go
Surface Area of Prisms
surface_area = (2*Base Area)+(Height*Base Perimeter) Go
Surface Area of Dodecahedron
surface_area = 3*(sqrt(25+(10*sqrt(5))))*(Side^2) Go
Surface Area of Regular Octahedron
surface_area = 2*(sqrt(3))*(Side^2) Go
Surface Area of Icosahedron
surface_area = 5*(sqrt(3))*(Side^2) Go
Surface Area of Regular Tetrahedron
surface_area = (sqrt(3))*(Side^2) Go
Surface Area of a Sphere
surface_area = 4*pi*Radius^2 Go
Surface Area of a Cube
surface_area = 6*Side^2 Go

Surface area of pentagonal trapezohedron given height Formula

surface_area = (sqrt((25/2)*(5+sqrt(5))))*((Height/((sqrt(5+2*sqrt(5)))))^2)
SA = (sqrt((25/2)*(5+sqrt(5))))*((h/((sqrt(5+2*sqrt(5)))))^2)

What is a trapezohedron?

The n-gonal trapezohedron, antidipyramid, antibipyramid, or deltohedron is the dual polyhedron of an n-gonal antiprism. The 2n faces of the n-trapezohedron are congruent and symmetrically staggered; they are called twisted kites. With a higher symmetry, its 2n faces are kites (also called deltoids). The n-gon part of the name does not refer to faces here but to two arrangements of vertices around an axis of symmetry. The dual n-gonal antiprism has two actual n-gon faces. An n-gonal trapezohedron can be dissected into two equal n-gonal pyramids and an n-gonal antiprism.

How to Calculate Surface area of pentagonal trapezohedron given height?

Surface area of pentagonal trapezohedron given height calculator uses surface_area = (sqrt((25/2)*(5+sqrt(5))))*((Height/((sqrt(5+2*sqrt(5)))))^2) to calculate the Surface Area, The Surface area of pentagonal trapezohedron given height formula is defined as measure of the total area that the surface of the object occupies of a pentagonal trapezohedron, where a =pentagonal trapezohedron edge. Surface Area and is denoted by SA symbol.

How to calculate Surface area of pentagonal trapezohedron given height using this online calculator? To use this online calculator for Surface area of pentagonal trapezohedron given height, enter Height (h) and hit the calculate button. Here is how the Surface area of pentagonal trapezohedron given height calculation can be explained with given input values -> 144.5842 = (sqrt((25/2)*(5+sqrt(5))))*((12/((sqrt(5+2*sqrt(5)))))^2).

FAQ

What is Surface area of pentagonal trapezohedron given height?
The Surface area of pentagonal trapezohedron given height formula is defined as measure of the total area that the surface of the object occupies of a pentagonal trapezohedron, where a =pentagonal trapezohedron edge and is represented as SA = (sqrt((25/2)*(5+sqrt(5))))*((h/((sqrt(5+2*sqrt(5)))))^2) or surface_area = (sqrt((25/2)*(5+sqrt(5))))*((Height/((sqrt(5+2*sqrt(5)))))^2). Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Surface area of pentagonal trapezohedron given height?
The Surface area of pentagonal trapezohedron given height formula is defined as measure of the total area that the surface of the object occupies of a pentagonal trapezohedron, where a =pentagonal trapezohedron edge is calculated using surface_area = (sqrt((25/2)*(5+sqrt(5))))*((Height/((sqrt(5+2*sqrt(5)))))^2). To calculate Surface area of pentagonal trapezohedron given height, you need Height (h). With our tool, you need to enter the respective value for Height and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Surface Area?
In this formula, Surface Area uses Height. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • surface_area = 2*pi*Radius*(2*Radius+Side)
  • surface_area = 6*Side^2
  • surface_area = 2*(Length*Width+Length*Height+Width*Height)
  • surface_area = 4*pi*Radius^2
  • surface_area = 3*(sqrt(25+(10*sqrt(5))))*(Side^2)
  • surface_area = 5*(sqrt(3))*(Side^2)
  • surface_area = 2*(sqrt(3))*(Side^2)
  • surface_area = (sqrt(3))*(Side^2)
  • surface_area = 2*((Length*Height)+(Height*Breadth)+(Length*Breadth))
  • surface_area = (2*Base Area)+(Height*Base Perimeter)
  • surface_area = (Base*Height)+(2*Length*Side)+(Length*Base)
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